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20211002121222 = 232112311272357027
BaseRepresentation
bin1001001100001101111011…
…00110100001110000000110
32122120011010111011212011100
410212012331212201300012
510122114113020334342
6110552450045520530
74154124321325023
oct446067546416006
978504114155140
1020211002121222
11649248a885800
12232503b873146
13b37b73ac0bc3
144dc30960254a
15250b04167e4c
hex1261bd9a1c06

20211002121222 has 144 divisors (see below), whose sum is σ = 50077303750656. Its totient is φ = 5880308464800.

The previous prime is 20211002121143. The next prime is 20211002121251. The reversal of 20211002121222 is 22212120011202.

It is a happy number.

20211002121222 is a `hidden beast` number, since 20 + 211 + 0 + 0 + 212 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20211002121195 and 20211002121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7396273 + ... + 9753299.

It is an arithmetic number, because the mean of its divisors is an integer number (347759053824).

Almost surely, 220211002121222 is an apocalyptic number.

20211002121222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211002121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038651875328).

20211002121222 is an abundant number, since it is smaller than the sum of its proper divisors (29866301629434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20211002121222 is a wasteful number, since it uses less digits than its factorization.

20211002121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357215 (or 2357201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20211002121222 its reverse (22212120011202), we get a palindrome (42423122132424).

The spelling of 20211002121222 in words is "twenty trillion, two hundred eleven billion, two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 127 186 198 242 254 279 341 363 381 558 682 726 762 1023 1089 1143 1397 2046 2178 2286 2794 3069 3751 3937 4191 6138 7502 7874 8382 11253 11811 12573 15367 22506 23622 25146 30734 33759 35433 43307 46101 67518 70866 86614 92202 129921 138303 259842 276606 389763 476377 779526 952754 1429131 2357027 2858262 4287393 4714054 7071081 8574786 14142162 21213243 25927297 42426486 51854594 73067837 77781891 146135674 155563782 219203511 233345673 285200267 299342429 438407022 466691346 570400534 598684858 657610533 803746207 855600801 898027287 1315221066 1607492414 1711201602 1796054574 2411238621 2566802403 2694081861 3292766719 4822477242 5133604806 5388163722 6585533438 7233715863 8841208277 9279615299 9878300157 14467431726 17682416554 18559230598 19756600314 26523624831 27838845897 29634900471 36220433909 53047249662 55677691794 59269800942 72440867818 79570874493 83516537691 102075768289 108661301727 159141748986 167033075382 204151536578 217322603454 306227304867 325983905181 612454609734 651967810362 918681914601 1122833451179 1837363829202 2245666902358 3368500353537 6737000707074 10105501060611 20211002121222